Linear liftings of skew symmetric tensor fields of type (1,2) to Weil bundles

被引:2
|
作者
Debecki, Jacek [1 ]
机构
[1] Uniwersytetu Jagiellonskiego, Inst Matemat, PL-30348 Krakow, Poland
关键词
natural operator; Weil bundle; PRODUCT-PRESERVING FUNCTORS; CONNECTIONS; MANIFOLDS;
D O I
10.1007/s10587-010-0084-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper contains a classification of linear liftings of skew symmetric tensor fields of type (1, 2) on n-dimensional manifolds to tensor fields of type (1, 2) on Weil bundles under the condition that n a (c) 3/4 3. It complements author's paper "Linear liftings of symmetric tensor fields of type (1, 2) to Weil bundles" (Ann. Polon. Math. 92, 2007, pp. 13-27), where similar liftings of symmetric tensor fields were studied. We apply this result to generalize that of author's paper "Affine liftings of torsion-free connections to Weil bundles" (Colloq. Math. 114, 2009, pp. 1-8) and get a classification of affine liftings of all linear connections to Weil bundles.
引用
收藏
页码:933 / 943
页数:11
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